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[itex]\partial_zE(r_⊥,z,\tau)-∇^2_⊥\int^{\tau}_{-\infty}d\tau 'E(r_⊥,z,\tau ')=\int^{\tau}_{-\infty}d\tau '\omega^2(r_⊥,z,\tau ')-\frac{\partial_{\tau}n(r_⊥,z,\tau)}{E(r_⊥,z,\tau)}[/itex]

and I want to solve for the evolution of E. Any help would be greatly appreciated. Thanks!